28800810 has 24 divisors (see below), whose sum is σ = 74882340. Its totient is φ = 7680192.

The previous prime is 28800781. The next prime is 28800817. The reversal of 28800810 is 1800882.

It can be written as a sum of positive squares in 2 ways, for example, as 26718561 + 2082249 = 5169^2 + 1443^2 .

It is a super-2 number, since 2×28800810² = 1658973313312200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (28800817) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 159915 + ... + 160094.

Almost surely, 2^28800810 is an apocalyptic number.

28800810 is an abundant number, since it is smaller than the sum of its proper divisors (46081530).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28800810 is a wasteful number, since it uses less digits than its factorization.

28800810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320022 (or 320019 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 28800810 is about 5366.6386127631. The cubic root of 28800810 is about 306.5266465909.

The spelling of 28800810 in words is "twenty-eight million, eight hundred thousand, eight hundred ten".